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Finding the Fourth Proportional to 2,408.95, 3,611.45 and 1,073.76

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Solution

The fourth proportional to 2,408.95, 3,611.45 and 1,073.76 is: 1,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.95 : 3,611.45 = 1,073.76 : x
  2. Step 2: Convert to fraction form
    2,408.95/3,611.45 = 1,073.76/x
  3. Step 3: Cross multiply
    2,408.95x = 3,611.45 × 1,073.76
  4. Step 4: Simplify right side
    2,408.95x = 3,877,846.78
  5. Step 5: Solve for x
    x = 3,877,846.78/2,408.95
  6. Step 6: Final answer
    x = 1,609.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.